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Old 2020-07-04, 20:09   #771
henryzz
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Quote:
Originally Posted by Pascal Ochem View Post
Yes, it is good to see this one down. Thank you very much, Ryan!
No auto-update, I removed the line from the MWRB file.
The weight of the remaining composites will be updated in a month or so.
732541 is (29^5-1)/28, so (732541^47-1)/732540 was also a composite of interest for lower bounds on the total number of prime factors.
It is presumably worth waiting for the obvious continuations to be attacked a bit before rerunning the tree. Any before and after statistics on tree size etc would be appreciated.
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Old 2020-07-05, 02:13   #772
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In case anyone is interested, here's the full msieve log for 732541^47-1.

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Old 2020-08-02, 20:05   #773
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The new list of roadblock composites is here
http://www.lirmm.fr/~ochem/opn/mwrb2100.txt
and the old one is here
http://www.lirmm.fr/~ochem/opn/old_mwrb2100.txt
Most of the changes are due to the recent factorizations of sigma(3^660) and sigma(732541^46).
Notably, the weight of sigma(6115909044841454629^16) drops from 79580833 to 67959517 and
the weight of sigma(127^192) drops from 29196565 to 14190689.
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Old 2020-08-03, 16:05   #774
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Are the files available that contain all the factors used in the proof?
How do you check that all the composites hit have been trial factored to at least the assumed level given that pfn doesn't output a file containing the composites hit(I suppose you could extract them from the log)?
Does it even matter if there are unfound small factors in non-roadblock composites apart from them causing gcd errors?
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